krating

TRABAJO DE ESTADISTICA APLICADA A LOS NEGOCIOS.

1. R=192-150=42

K= 75 =8.66 =>9

C=42/9=4.67 =>5


X=cm
Xi
fi
Fi
hi
Hi
%hi
%Hi
[150-155<
152.5
2
2
0.03
0.03
33
[155-160<
157.5
6
8
0.08
0.11
8
11
[160-165<
162.5
9
17
0.12
0.23
12
23
[165-170<
167.5
15
32
0.20
0.43
20
43
[170-175<
172.5
25
57
0.33
0.76
33
76[175-180<
177.5
8
65
0.11
0.87
11
87
[180-185<
182.5
4
69
0.05
0.92
5
92
[185-190<
187.5
5
74
0.07
0.99
7
99
[190-195]
192.5
1
75
0.01
1
1
10075 1 100

Media Aritmetica:
X=152.5x2+157.5x6+162.5x9+167.5x15+172.5x25+177.5x8+182.5x4+187.5x5+192.5x1
X=12817.5/75=170.9

MedianaX=170+(37.5-32/57-32)5=171.1

Moda
X=170(25-15/(25-15)+(25-8))5=314.81


2.

intervalos
Xi
fi
Fi
XiFi
[100-120<
110
8
8
880
[120-140<

130
15
23
1950
[140-160<
150
12
35
1800[160-180<
170
13
48
2210
[180-200>
190
18
66
3420
[200-220<
210
4
70
840
70

Moda:

X=880+1950+1800+2210+3420+840/70=158.57

Varianza:

S = 62057.14/70=886.53Desviacion típica.

S= 886.53=29.77

Coeficiente de variación

c.v.=29.77/158.57=0.19

%c.v.= 19%




3

li
xi
fi
Fi
hi
48-60
54
2
2
0.04
60-72
66
20
22
0.472-84
78
2
24
0.04
84-96
90
22
46
0.44
96-108
102
4
50
0.08
50 1

Medina aritmética:
X=3972/50=79.44


Moda:
X=84+(22-2/(22-2)+(22-4))x12=90.32






4.
XY
(X.Y)
Fi(xi-x)(yi-y)
fi(xi-z)
2.1
35
(2.1,35)
11.1
1.44
2.7
38
(2.7,38)
3.75
0.36
3.3
43
(3.3,43)
0
0
5.1
61
(5.1,61)
30.15
3.24

Mediana:
X=3.3
Y=44.25Covarianza:
Covxy45/4=11.25
Varianza= 5.04/3=1.68

X=? y Y=80
80=11.25/1.68(x-3.3)+44.25
35.75=11.25/1.68(X-3.3)
60.06=11.25(X-3.3)
60.06=11.25X-37.13
22.93=11.25X
X=2.04